K12n673
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^4+q^3-q^2+q+2 q^{-2} - q^{-3} +2 q^{-4} -2 q^{-5} + q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^4-t^3+1- t^{-3} + t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^8+7 z^6+14 z^4+7 z^2+1 }[/math] |
| Determinant | 5 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+8 a^2 z^6-6 a^4 z^4+22 a^2 z^4-z^4 a^{-2} -z^4-11 a^4 z^2+25 a^2 z^2-3 z^2 a^{-2} -4 z^2-6 a^4+11 a^2- a^{-2} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+a^5 z^9+2 a^3 z^9+a z^9+a^6 z^8-7 a^4 z^8-9 a^2 z^8+z^8 a^{-2} +a^7 z^7-5 a^5 z^7-15 a^3 z^7-9 a z^7+z^7 a^{-1} +z^7 a^{-3} -5 a^6 z^6+18 a^4 z^6+29 a^2 z^6-6 z^6 a^{-2} -6 a^7 z^5+5 a^5 z^5+37 a^3 z^5+26 a z^5-6 z^5 a^{-1} -6 z^5 a^{-3} +5 a^6 z^4-27 a^4 z^4-45 a^2 z^4+10 z^4 a^{-2} -3 z^4+10 a^7 z^3-39 a^3 z^3-31 a z^3+8 z^3 a^{-1} +10 z^3 a^{-3} +22 a^4 z^2+33 a^2 z^2-5 z^2 a^{-2} +6 z^2-5 a^7 z+14 a^3 z+11 a z-2 z a^{-1} -4 z a^{-3} -6 a^4-11 a^2+ a^{-2} -3 }[/math] |
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